4655edo

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← 4654edo4655edo4656edo →
Prime factorization 5 × 72 × 19
Step size 0.257787¢
Fifth 2723\4655 (701.955¢) (→389\665)
Semitones (A1:m2) 441:350 (113.7¢ : 90.23¢)
Consistency limit 5
Distinct consistency limit 5

4655 equal divisions of the octave (abbreviated 4655edo), or 4655-tone equal temperament (4655tet), 4655 equal temperament (4655et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4655 equal parts of about 0.258 ¢ each. Each step of 4655edo represents a frequency ratio of 21/4655, or the 4655th root of 2.

Theory

Despite its size this EDO only has a consistency level of 5.


Approximation of prime harmonics in 4655edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000 -0.000 +0.109 -0.061 +0.089 +0.117 -0.036 -0.026 -0.047 +0.025 +0.056
relative (%) +0 -0 +42 -24 +35 +45 -14 -10 -18 +10 +22
Steps
(reduced)
4655
(0)
7378
(2723)
10809
(1499)
13068
(3758)
16104
(2139)
17226
(3261)
19027
(407)
19774
(1154)
21057
(2437)
22614
(3994)
23062
(4442)


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